Weak sharp minima for interval-valued functions and its primal-dual characterizations using generalized Hukuhara subdifferentiability

This article introduces the concept of weak sharp minima for convex interval-valued functions. To solve constrained and unconstrained IOPs by WSM, we provide primal dual characterizations set WSM. The characterization is given in terms gH-directional derivatives. On other hand, to derive characterizations, propose notions support function a subset $$I({\mathbb {R}})^{n}$$ gH-subdifferentiability IVFs. Further, develop required gH-subdifferential calculus Thereafter, using proposed calculus, WSM objective IVFs IOPs. Two applications theory are presented. first one determines minimum risk portfolio interval optimization problem. In second application, way find efficient solutions linear nonlinear